SOLUTION: Hello, I have to find the coordinates of the center and foci and the lengths of the major and minor axes for the ellipse with the equation: {{{ 4x^2+8y^2=32 }}} I am having dif

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Hello, I have to find the coordinates of the center and foci and the lengths of the major and minor axes for the ellipse with the equation: {{{ 4x^2+8y^2=32 }}} I am having dif      Log On


   

Question 193686: Hello, I have to find the coordinates of the center and foci and the lengths of the major and minor axes for the ellipse with the equation:
+4x%5E2%2B8y%5E2=32+
I am having difficulty with the coefficients, I am not sure how to complete the square. Any help and explanations would be great. Thanks!

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
you dont need to complete the square in this..just divide all terms by 32
:
x%5E2%2F8%2By%5E2%2F4=1
:
a=sqrt%288%29=2sqrt%282%29
b=2
:
the center is at (0,0)
:
foci is c%5E2=8-4=4
:
c=2
:
foci are at (2,0) and (-2,0)
:
major axis is 2a=4sqrt%282%29
minor axis is 2b=2(2)=4